Spectral decomposition-based explicit time-domain method for non-stationary random vibration analysis of train-bridge system

Due to the inherent randomness of track irregularity excitation, the dynamic analysis of the train-bridge system (TBS) is essentially a random vibration problem. This paper presents a new computational framework for addressing this problem based on a spectral decomposition-based explicit time-domain method (SD-ETDM) recently proposed by the authors. In this framework, an orthogonal stochastic vector (OSV) obtained via the spectral decomposition approach is used to represent the random track irregularity. Then, an explicit expression is derived for the stochastic responses of the TBS in terms of the OSV by numerical discretization and integration of the coupled TBS equation using the Newmark-β method. The time-dependent coefficient matrices for these response-OSV expressions are obtained recursively, making the computational framework very convenient for numerical implementation. The obtained response-OSV expressions can be used to efficiently evaluate the time-frequency response statistics of the TBS, avoiding tedious integral calculations or repeated time-history analyses required in traditional random vibration methods. Finally, a three-span continuous beam coupled with a two-dimensional train model is used for numerical verification, a comparison with other existing methods indicates that the SD-ETDM is an accurate, efficient and practical method for non-stationary random vibration analysis of the TBS.

• Record URL:
  • https://doi.org/10.1016/j.engstruct.2024.119496
• Record URL:
  • http://www.sciencedirect.com/science/article/pii/S0141029624020583
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/01410296
• Supplemental Notes:
  • © 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies. Abstract reprinted with permission of Elsevier.
• Authors:
  • Yu, Helu
  • Zhou, Jianting
  • Wang, Bin
  • Li, Yongle
• Publication Date: 2025-3-1

Language

• English

Media Info

• Media Type: Web
• Features: References;
• Pagination: 119496
• Serial:
  • Engineering Structures
  • Volume: 326
  • Issue Number: 0
  • Publisher: Elsevier
  • ISSN: 0141-0296
  • Serial URL: http://www.sciencedirect.com/science/journal/01410296

Subject/Index Terms

• TRT Terms: Railroad bridges; Spectrum analysis; Time domain analysis; Train track dynamics; Vibration
• Subject Areas: Bridges and other structures; Maintenance and Preservation; Railroads;

Filing Info

• Accession Number: 01946196
• Record Type: Publication
• Files: TRIS
• Created Date: Feb 18 2025 10:56AM